What is the Greatest Common Factor of 75849 and 75869?

Greatest common factor (GCF) of 75849 and 75869 is 1.

GCF(75849,75869) = 1

We will now calculate the prime factors of 75849 and 75869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75849 and 75869.

How to find the GCF of 75849 and 75869?

We will first find the prime factorization of 75849 and 75869. After we will calculate the factors of 75849 and 75869 and find the biggest common factor number .

Step-1: Prime Factorization of 75849

Prime factors of 75849 are 3, 131, 193. Prime factorization of 75849 in exponential form is:

75849 = 3¹ × 131¹ × 193¹

Step-2: Prime Factorization of 75869

Prime factors of 75869 are 75869. Prime factorization of 75869 in exponential form is:

75869 = 75869¹

Step-3: Factors of 75849

List of positive integer factors of 75849 that divides 75849 without a remainder.

1, 3, 131, 193, 393, 579, 25283

Step-4: Factors of 75869

List of positive integer factors of 75869 that divides 75849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75849 and 75869. The biggest common factor number is the GCF number.
So the greatest common factor 75849 and 75869 is 1.

Also check out the Least Common Multiple of 75849 and 75869